Are you sure about the first rule? It doesn't seem necessary according to https://oeis.org/A014575.
The problem is really fun.
Since I created the problem series and want the Functions I badge, I thought I'd provide the solution that incorporates vampire_factor and are_fangs. Not a great score, but readable!
Sorry, I mean the Magic Numbers badge.
Find the sum of all the numbers of the input vector
Program an exclusive OR operation with logical operators
Project Euler: Problem 1, Multiples of 3 and 5
The sum of the numbers in the vector
Calculate area of sector
Outer product of multiple vectors
Multivariate polynomials - overload multiplication
Multivariate polynomials - convert monomial form to array
Fangs of a vampire number
Multivariate polynomials - emulate symbolic form
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